Angles in Circles Secants

Front

What is the measure of an angle formed by two secants intersecting outside a circle?

Back

The measure of the angle is equal to half the difference of the measures of the intercepted arcs.

Front

Define a secant line in relation to a circle.

Back

A secant line is a line that intersects a circle at two points.

Front

What is the relationship between the angle formed by two secants and the arcs they intercept?

Back

The angle is equal to half the difference of the measures of the intercepted arcs.

Front

If two secants intersect outside a circle, how do you find the measure of the angle formed?

Back

Use the formula: m∠A = 1/2 (mArcBC - mArcAD), where ArcBC and ArcAD are the intercepted arcs.

Front

What is the measure of an arc in a circle?

Back

The measure of an arc is the degree measure of the central angle that subtends the arc.

Front

How do you calculate the measure of an angle formed by a secant and a tangent?

Back

The measure of the angle is equal to half the measure of the intercepted arc.

Front

What is the formula for finding the length of an arc?

Back

Arc length = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Front

What is the relationship between the angles formed by two intersecting chords in a circle?

Back

The measure of each angle is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Front

Define intercepted arc.

Back

An intercepted arc is the part of a circle that lies between two lines, such as secants or tangents.

Front

What is the measure of an angle formed by two secants that intersect inside a circle?

Back

The measure of the angle is equal to half the sum of the measures of the intercepted arcs.